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64854240 = 25351171173
BaseRepresentation
bin1111011101100…
…1100011100000
311112000221021220
43313121203200
5113100313430
610234015040
71415152263
oct367314340
9145027256
1064854240
1133676a50
1219877480
13105895b9
148882cda
155a61110
hex3dd98e0

64854240 has 192 divisors, whose sum is σ = 227308032. Its totient is φ = 15411200.

The previous prime is 64854233. The next prime is 64854247. The reversal of 64854240 is 4245846.

It is an interprime number because it is at equal distance from previous prime (64854233) and next prime (64854247).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64854247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374794 + ... + 374966.

It is an arithmetic number, because the mean of its divisors is an integer number (1183896).

Almost surely, 264854240 is an apocalyptic number.

64854240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113654016).

64854240 is an abundant number, since it is smaller than the sum of its proper divisors (162453792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64854240 is a wasteful number, since it uses less digits than its factorization.

64854240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 64854240 is about 8053.2130233839. The cubic root of 64854240 is about 401.7718068301.

The spelling of 64854240 in words is "sixty-four million, eight hundred fifty-four thousand, two hundred forty".